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Can You Solve the Two Points in a Square Puzzle?

This one is really hard — you need to know calculus and probability theory!

Mind Your Decisions has a new math puzzle, and its difficulty level is indicated as “Very Hard.”

Can you find the average distance between two random points in a square with a side length of 1?

The video goes through how to estimate the exact answer using integrals. Those of you without a mathematical background will find this puzzle challenging, as knowledge in calculus and probability theory are necessary to solve it.